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313140040 = 2357828501
BaseRepresentation
bin10010101010100…
…010001101001000
3210211020011101021
4102222202031020
51120130440130
651023402224
710521434503
oct2252421510
9724204337
10313140040
11150839824
1288a53374
134cb4b985
142d83413a
151c75737a
hex12aa2348

313140040 has 16 divisors (see below), whose sum is σ = 704565180. Its totient is φ = 125256000.

The previous prime is 313140031. The next prime is 313140041. The reversal of 313140040 is 40041313.

It can be written as a sum of positive squares in 2 ways, for example, as 277355716 + 35784324 = 16654^2 + 5982^2 .

It is a junction number, because it is equal to n+sod(n) for n = 313139996 and 313140023.

It is not an unprimeable number, because it can be changed into a prime (313140041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3914211 + ... + 3914290.

Almost surely, 2313140040 is an apocalyptic number.

It is an amenable number.

313140040 is an abundant number, since it is smaller than the sum of its proper divisors (391425140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313140040 is a wasteful number, since it uses less digits than its factorization.

313140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828512 (or 7828508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 313140040 is about 17695.7633347646. The cubic root of 313140040 is about 679.0673777764.

Adding to 313140040 its reverse (40041313), we get a palindrome (353181353).

The spelling of 313140040 in words is "three hundred thirteen million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 7828501 15657002 31314004 39142505 62628008 78285010 156570020 313140040